Articles with "line integral" as a keyword



Ordered Line Integral Methods for Computing the Quasi-Potential

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Published in 2018 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-017-0590-9

Abstract: The quasi-potential is a key function in the Large Deviation Theory. It characterizes the difficulty of the escape from the neighborhood of an attractor of a stochastic non-gradient dynamical system due to the influence of… read more here.

Keywords: line integral; methods computing; quasi potential; integral methods ... See more keywords
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Line integral solution of Hamiltonian systems with holonomic constraints

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Published in 2018 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2017.12.014

Abstract: Abstract In this paper, we propose a second order energy-conserving approximation procedure for Hamiltonian systems with holonomic constraints. The derivation of the procedure relies on the use of the so-called line integral framework . We… read more here.

Keywords: line integral; hamiltonian systems; holonomic constraints; systems holonomic ... See more keywords

An Ordered Line Integral Method for computing the quasi-potential in the case of variable anisotropic diffusion

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Published in 2018 at "Physica D: Nonlinear Phenomena"

DOI: 10.1016/j.physd.2018.07.002

Abstract: Abstract Nongradient stochastic differential equations (SDEs) with position-dependent and anisotropic diffusion are often used in biological modeling. The quasi-potential is a crucial function in the Large Deviation Theory that allows one to estimate transition rates… read more here.

Keywords: line integral; diffusion; quasi potential; anisotropic diffusion ... See more keywords

Physics-informed deep learning model for line-integral diagnostics across fusion devices

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Published in 2024 at "Nuclear Fusion"

DOI: 10.1088/1741-4326/ade0ce

Abstract: Rapid reconstruction of 2D plasma profiles from line-integral measurements is important in nuclear fusion. This paper introduces a physics-informed model architecture called Onion, that can enhance the performance of models and be adapted to various… read more here.

Keywords: physics informed; physics; fusion; model ... See more keywords